Equilibrium Kawasaki dynamics of continuous particle systems

Kondratiev Y, Lytvynov E, Röckner M (2007)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10(2): 185-209.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
We construct a new equilibrium dynamics of infinite particle systems in a Riemannian manifold X. This dynamics is an analog of the Kawasaki dynamics of lattice spin systems. The Kawasaki dynamics now is a process where interacting particles randomly hop over X. We establish conditions on the a priori explicitly given symmetrizing measure and the generator of this dynamics, under which a corresponding conservative Markov processes exists. We also outline two types of scaling limit of the equilibrium Kawasaki dynamics: one leading to an equilibrium Glauber dynamics in continuum ( a birth-and-death process), and the other leading to a diffusion dynamics of interacting particles ( in particular, the gradient stochastic dynamics).
Erscheinungsjahr
Zeitschriftentitel
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
Band
10
Ausgabe
2
Seite(n)
185-209
ISSN
PUB-ID

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Kondratiev Y, Lytvynov E, Röckner M. Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 2007;10(2):185-209.
Kondratiev, Y., Lytvynov, E., & Röckner, M. (2007). Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 10(2), 185-209. doi:10.1142/S0219025707002695
Kondratiev, Y., Lytvynov, E., and Röckner, M. (2007). Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10, 185-209.
Kondratiev, Y., Lytvynov, E., & Röckner, M., 2007. Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 10(2), p 185-209.
Y. Kondratiev, E. Lytvynov, and M. Röckner, “Equilibrium Kawasaki dynamics of continuous particle systems”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 10, 2007, pp. 185-209.
Kondratiev, Y., Lytvynov, E., Röckner, M.: Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 10, 185-209 (2007).
Kondratiev, Yuri, Lytvynov, Eugene, and Röckner, Michael. “Equilibrium Kawasaki dynamics of continuous particle systems”. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10.2 (2007): 185-209.